Question Detail

PHY 102 Last Minute Prep Objective Question

Question

A positive charge particle with mass m=10mg and charge Q=0.10mC is placed near a non-conducting table. What should be the charge density on the table to keep the particle stationary? (g=9.8 m/s²)
Options
A 1.7×10^-11 C/m
B 1.7×10^-11 C/m²
C 1.73×10^-11 C/m²
Correct Answer
D 1.73×10^-11 C/m
Correct Answer

Option C is the correct answer.

Detailed Explanation

For equilibrium: qE = mg. E = σ/(2ε₀). σ = 2ε₀mg/q = 2×8.85×10^-12 × 10×10^-6 × 9.8 / (0.10×10^-3) = 1.73×10^-11 C/m².

Hint

Balance the electric force and gravitational force.

Question Info